27860856791040 has 2688 divisors, whose sum is σ = 124719848128512. Its totient is φ = 5595495137280.

The previous prime is 27860856790999. The next prime is 27860856791069. The reversal of 27860856791040 is 4019765806872.

27860856791040 is a `hidden beast` number, since 2 + 7 + 8 + 60 + 8 + 567 + 9 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×27860856791040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75915140937 + ... + 75915141303.

It is an arithmetic number, because the mean of its divisors is an integer number (46398753024).

Almost surely, 2^{27860856791040} is an apocalyptic number.

27860856791040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27860856791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62359924064256).

27860856791040 is an abundant number, since it is smaller than the sum of its proper divisors (96858991337472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27860856791040 is a wasteful number, since it uses less digits than its factorization.

27860856791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 27860856791040 in words is "twenty-seven trillion, eight hundred sixty billion, eight hundred fifty-six million, seven hundred ninety-one thousand, forty".